324312400 has 120 divisors (see below), whose sum is σ = 847947960. Its totient is φ = 118702080.

The previous prime is 324312371. The next prime is 324312409. The reversal of 324312400 is 4213423.

It can be written as a sum of positive squares in 12 ways, for example, as 24336 + 324288064 = 156^2 + 18008^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (324312409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 250956 + ... + 252244.

It is an arithmetic number, because the mean of its divisors is an integer number (7066233).

Almost surely, 2^324312400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 324312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423973980).

324312400 is an abundant number, since it is smaller than the sum of its proper divisors (523635560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

324312400 is a wasteful number, since it uses less digits than its factorization.

324312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 324312400 is about 18008.6756870126. The cubic root of 324312400 is about 687.0492207516.

Adding to 324312400 its reverse (4213423), we get a palindrome (328525823).

The spelling of 324312400 in words is "three hundred twenty-four million, three hundred twelve thousand, four hundred".